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Finding the Fourth Proportional to 882.45, 1,322.42 and 334.22

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Solution

The fourth proportional to 882.45, 1,322.42 and 334.22 is: 500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.45 : 1,322.42 = 334.22 : x
  2. Step 2: Convert to fraction form
    882.45/1,322.42 = 334.22/x
  3. Step 3: Cross multiply
    882.45x = 1,322.42 × 334.22
  4. Step 4: Simplify right side
    882.45x = 441,970.93
  5. Step 5: Solve for x
    x = 441,970.93/882.45
  6. Step 6: Final answer
    x = 500.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.